BRIDE
发表于 2025-3-27 00:06:11
0075-8434 basic concepts can be applied to solve contemporary problemsThis monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating t
reject
发表于 2025-3-27 02:30:12
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字谜游戏
发表于 2025-3-27 08:10:02
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不能和解
发表于 2025-3-27 13:29:13
Integral Representation of the Standard ,-Function,ence subgroup. Rallis, Piatetski-Shapiro, and also Böcherer, have obtained the integral representation in special cases. We will modify their methods to suit our level of generality. We will illustrate an application of the integral representation to algebraicity of special values of the .-function in the genus 2 case.
汇总
发表于 2025-3-27 14:23:29
Examples,ito–Kurokawa lifts. These are concrete examples of cuspidal Siegel modular forms constructed from elliptic cusp forms. Finally, we consider Siegel modular forms with level . in the genus . case, corresponding to the standard congruence subgroups.
不再流行
发表于 2025-3-27 19:18:59
Hecke Theory and ,-Functions, consisting of simultaneous eigenforms of the Hecke algebra. We explicate the relation between the Hecke eigenvalues and the Fourier coefficients of the modular forms. For genus greater than 1, this relation is very complicated. Finally, we introduce the two .-functions associated with Hecke eigenfo
obtuse
发表于 2025-3-28 01:29:19
Cuspidal Automorphic Representations Corresponding to Siegel Modular Forms, There are several steps for achieving this— construct a function . on . corresponding to ., understand the properties it inherits from ., and study the local components of the representation generated by .. The main reference for this chapter is the article by Asgari and Schmidt. We suggest the
DEMUR
发表于 2025-3-28 04:44:08
Integral Representation of the Standard ,-Function,ters. The goal is to assume as little as possible about the Siegel modular forms. We will allow vector-valued modular forms with respect to any congruence subgroup. Rallis, Piatetski-Shapiro, and also Böcherer, have obtained the integral representation in special cases. We will modify their methods
TIGER
发表于 2025-3-28 09:31:07
Book 2019ace, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and the
弯曲道理
发表于 2025-3-28 14:13:19
Self-Harm as Violence: When Victim and Perpetrator Are One007), while the . devotes only one out of 62 chapters to suicide (Heitmeyer and Hagan 2003). Such collections aim to be far reaching and comprehensive compilations of state-of-the-art research into violence. Why does self-directed violence garner so little attention?